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3 years ago

Sqrt( 7x ) + 1 = sqrt( 7x + 1 ) Find a solution that is not equal to zero?

Mathematics

1 answer:

mr_godi [17]3 years ago

4 0

Answer:

There isn't one

Step-by-step explanation:

√q differs from √(q+1) by 1 only when q=0. The difference gets smaller as q gets larger.

___

Here, q=7x. The same logic applies.

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((81x^3 y^(-1/3))^1/4)/(x^2 y)^1/4 simplify

malfutka [58]

$\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}
\\\\\\
\left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\
-------------------------------\\\\$

$\bf \cfrac{\left( 81x^3y^{-\frac{1}{3}} \right)^{\frac{1}{4}}}{(x^2y)^{\frac{1}{4}}}\implies \cfrac{81^{\frac{1}{4}}x^{3\cdot {\frac{1}{4}}}y^{-\frac{1}{3}\cdot {\frac{1}{4}}}}{x^{2\cdot {\frac{1}{4}}}y^{\frac{1}{4}}}\implies
\cfrac{81^{\frac{1}{4}}x^{\frac{3}{4}}y^{-\frac{1}{12}}}{x^{\frac{2}{4}} y^{\frac{1}{4}}}$

$\bf \cfrac{81^{\frac{1}{4}}x^{\frac{3}{4}}x^{-\frac{2}{4}}}{ y^{\frac{1}{4}}y^{\frac{1}{12}}}\implies \cfrac{(3^4)^{\frac{1}{4}}x^{\frac{3}{4}-\frac{2}{4}}}{y^{\frac{1}{4}+\frac{1}{12}}}\implies \cfrac{3^{4\cdot \frac{1}{4}}x^{\frac{1}{4}}}{y^{\frac{4}{12}}}\implies \cfrac{3^{\frac{4}{4}}x^{\frac{1}{4}}}{y^{\frac{1}{3}}}
\\\\\\
\cfrac{3\sqrt[4]{x}}{\sqrt[3]{y}}$

7 0

2 years ago

Suppose you are asked to find the area of a rectangle that is 2.1-cmcm wide by 5.6-cmcm long. Your calculator answer would be 11

Jlenok [28]

Answer:

12 square cm correct to 2 significant figures

Step-by-step explanation:

Area of a Rectangle = L X B = 2.1 X 5.6 = 11.76 square cm

To round your result to 2 significant figure, we start counting from the left from the first non-zero digit.

The first two digits are 11 but because the number after is 7 (greater than 4), we round up to 12.

11.76 square cm = 12 square cm correct to 2 significant figures

6 0

3 years ago

How much of a circle does a 100-degree angle turn through? The answers for the question are 1, 100/180, 50/360, and 100/360. Whi

const2013 [10]

Answer:

Step-by-step explanation:

The answer is D because a circle has at least a 360 degree and a 180 is a half circle.

5 0

2 years ago

What is the height of the cone below?<br> - 3<br> - 9<br> - 27<br> - 75

Rasek [7]

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ \end{cases}\implies V=\pi r^2\cdot \cfrac{h}{3}~~ \begin{cases} \pi r^2=&area~of\\ &circular\\ &base\\ \cline{1-2} \stackrel{B}{\pi r^2}=&5\\ V=&45 \end{cases} \\\\\\ 45=5\cdot \cfrac{h}{3}\implies 135=5h\implies \cfrac{135}{5}=h\implies 27=h$

5 0

2 years ago

Read 2 more answers

Find the surface area

Nikitich [7]

The answer to the question is that the surface area is 48

3 0

2 years ago